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1101012003133 = 7417238111329
BaseRepresentation
bin10000000001011001011…
…011011110100100111101
310220020220102022212001021
4100001121123132210331
5121014333033100013
62201444204144141
7142355050420000
oct20013133364475
93806812285037
101101012003133
11394a33632a19
12159472838051
137ca956589b3
143b409a5b537
151d98e753a8d
hex100596de93d

1101012003133 has 40 divisors (see below), whose sum is σ = 1360684009080. Its totient is φ = 887759953920.

The previous prime is 1101012003107. The next prime is 1101012003197. The reversal of 1101012003133 is 3313002101011.

It can be written as a sum of positive squares in 4 ways, for example, as 8324372644 + 1092687630489 = 91238^2 + 1045317^2 .

It is not a de Polignac number, because 1101012003133 - 217 = 1101011872061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101012003103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97179613 + ... + 97190941.

It is an arithmetic number, because the mean of its divisors is an integer number (34017100227).

Almost surely, 21101012003133 is an apocalyptic number.

It is an amenable number.

1101012003133 is a deficient number, since it is larger than the sum of its proper divisors (259672005947).

1101012003133 is an equidigital number, since it uses as much as digits as its factorization.

1101012003133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13755 (or 13734 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1101012003133 its reverse (3313002101011), we get a palindrome (4414014104144).

The spelling of 1101012003133 in words is "one trillion, one hundred one billion, twelve million, three thousand, one hundred thirty-three".

Divisors: 1 7 17 49 119 343 833 2381 2401 5831 11329 16667 40477 40817 79303 116669 192593 283339 555121 816683 1348151 1983373 3885847 5716781 9437057 13883611 26974349 27200929 66059399 97185277 188820443 458563933 462415793 1321743101 3209947531 9252201707 22469632717 64765411949 157287429019 1101012003133